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Finding the Fourth Proportional to 230,287.31, 317,797.14 and 133,509.98

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Solution

The fourth proportional to 230,287.31, 317,797.14 and 133,509.98 is: 184,244.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,287.31 : 317,797.14 = 133,509.98 : x
  2. Step 2: Convert to fraction form
    230,287.31/317,797.14 = 133,509.98/x
  3. Step 3: Cross multiply
    230,287.31x = 317,797.14 × 133,509.98
  4. Step 4: Simplify right side
    230,287.31x = 42,429,088,216.47
  5. Step 5: Solve for x
    x = 42,429,088,216.47/230,287.31
  6. Step 6: Final answer
    x = 184,244.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.